不确定直流网络中的最优潮流

This paper addresses the optimal power flow problem in direct current networks with uncertain load demands. This is a non-convex optimization problem which becomes further complicated due to the presence of uncertain loads. We construct affine control policies using which power converters adjust the bus voltages. Using S –Lemma, semidefinite programming relaxations, and penalization techniques, uncertain variables are eliminated and the problem is cast as a deterministic convex optimization using which the affine policies are calculated. The convexified problem can be readily solved using off-the-shelf solvers. The proposed control policies are numerically verified on modified IEEE 4-, 14-, and 30-bus networks, and experimentally validated using a controller/hardware-in-the-loop setup for the 4-bus network.